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3 years ago

If y=12 when x=6 determine y when x=18

1 answer:

5 0

Y will equal 36. You can figure this out because you know y is double the value of x. If x is 18,you can just multiply it by 2, which equals 36

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Covert 9.46×^10-6 into regular notation

weqwewe [10]

Answer:

0.00000946

Step-by-step explanation:

9.46×^10⁻⁶ =0.00000946

<u>Trick:</u>

Since the exponent of the scientific notation is negative, move the decimal point 6 places to the left

5 0

2 years ago

OLIVE

RoseWind [281]

Answer:

The slope is 2/3

Step-by-step explanation:

m=y²-y1/x²-x¹

m=6-4/5-2

m=2/3

6 0

2 years ago

Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks

Iteru [2.4K]

Let

$P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}$

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

$P(1):\ 1 = \dfrac{1\cdot 2}{2}=1$

So, the base case is ok. Now, we need to assume $P(n)$ and prove $P(n+1)$ .

$P(n+1)$ states that

$P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}$

Since we're assuming $P(n)$ , we can substitute the sum of the first n terms with their expression:

$\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}$

Which terminates the proof, since we showed that

$P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}$

as required

4 0

3 years ago

P what equation in slope-intercept form represents the line that passes through the points (3,5) and (-9,2)

ivanzaharov [21]

Answer:

$y =\frac{1}{5}x+\frac{22}{5}$

Step-by-step explanation:

To write the equation of a line, use the slope formula to first find the slope.

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-2}{3--9}=\frac{3}{3+12}=\frac{3}{15}=\frac{1}{5}$

Substitute m=1/5 and the point (3,5) into point slope formula.

$y-y_1 = m(x-x_1)\\y-5=\frac{1}{5}(x-3)\\y-5=\frac{1}{5}x -\frac{3}{5}\\y =\frac{1}{5}x+\frac{22}{5}$

3 0

3 years ago

Find m<1 then m<2. State the theroms or prostulates that justify your answers

ki77a [65]

Answer:

fffgfdfgee

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers